Finding the Third Proportional to 309,593.50 and 680,075

Step by Step Solution

1. Step 1: Write the proportion equation
   309,593.50 : 680,075 = 680,075 : x
2. Step 2: Convert to fraction form
   309,593.50/680,075 = 680,075/x
3. Step 3: Cross multiply
   309,593.50x = 680,075 × 680,075
4. Step 4: Simplify right side
   309,593.50x = 462,502,005,625
5. Step 5: Solve for x
   x = 462,502,005,625/309,593.50
6. Step 6: Final answer
   x = 1,493,900.89